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On commutator laws in groups

Part of: Algebraic structures Foundations

Published online by Cambridge University Press:  09 April 2009

I. D. Macdonald  and
B. H. Neumann
I. D. Macdonald
Affiliation:
Department of MathematicsLafayette College Easton, Pennsylvania 18042, U.S.A.
B. H. Neumann
Affiliation:
Department of MathematicsInstitute of Advanced Studies Australian National UniversityCanberra, ACT 2601Australia and Division of Mathematics and Statistics Commonwealth Scientific and Industrial Research Organization Canberra, ACT 2601, Australia
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Abstract

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There are some well-known laws that the commutator satisfies in groups, and that go by some or all of the names Jacobi, Witt, Hall; and there are also some lesser-known laws. This is an attempt at an axiomatic study of the interdependence and independence of these laws.

MSC classification

Secondary: 20A05: Axiomatics and elementary properties 08A99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 1 , August 1988 , pp. 95 - 103
Copyright
Copyright © Australian Mathematical Society 1988